What is the Greatest Common Factor of 32338 and 32344?

Greatest common factor (GCF) of 32338 and 32344 is 2.

GCF(32338,32344) = 2

We will now calculate the prime factors of 32338 and 32344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32338 and 32344.

How to find the GCF of 32338 and 32344?

We will first find the prime factorization of 32338 and 32344. After we will calculate the factors of 32338 and 32344 and find the biggest common factor number .

Step-1: Prime Factorization of 32338

Prime factors of 32338 are 2, 19, 23, 37. Prime factorization of 32338 in exponential form is:

32338 = 2¹ × 19¹ × 23¹ × 37¹

Step-2: Prime Factorization of 32344

Prime factors of 32344 are 2, 13, 311. Prime factorization of 32344 in exponential form is:

32344 = 2³ × 13¹ × 311¹

Step-3: Factors of 32338

List of positive integer factors of 32338 that divides 32338 without a remainder.

1, 2, 19, 23, 37, 38, 46, 74, 437, 703, 851, 874, 1406, 1702, 16169

Step-4: Factors of 32344

List of positive integer factors of 32344 that divides 32338 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 311, 622, 1244, 2488, 4043, 8086, 16172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32338 and 32344. The biggest common factor number is the GCF number.
So the greatest common factor 32338 and 32344 is 2.

Also check out the Least Common Multiple of 32338 and 32344